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Solve for x : 2tan^(-1)(cosx)=tan^(-1)...

Solve for `x :` `2tan^(-1)(cosx)=tan^(-1)(2cos e cx)`

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XII BOARDS PREVIOUS YEAR-BOARD PAPER SOLUTIONS-All Questions
  1. Using elementary transformations, find the inverse of the matrix A=(8 ...

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  2. Three persons A, B and C apply for a job of Manager in a Private Compa...

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  3. Solve for x : 2tan^(-1)(cosx)=tan^(-1)(2cos e cx)

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  4. int(-1)^2|x^3-x|dxdot

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  5. Find the particular solution of the differential equation (1-y^2)(1+lo...

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  6. Find the general solution of the following differential equation : (1...

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  7. Show that the vectors vec a , vec b and vec c are coplanar if vec a+...

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  8. Find the vector and Cartesian equations of the line through the point ...

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  9. The monthly incomes of Aryan and Babban are in the ratio 3 : 4 and the...

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  10. Find the values of p and q , for which f(x)={(1-sin^3x)/(3cos^2x)p(q(1...

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  11. The two vectors hat j+ hat k and 3 hat i- hat j+4 hat k represent the...

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  12. Prove that : tan^(-1)1/5+tan^(-1)1/7+tan^(-1)1/3+tan^(-1)1/8=pi/4

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  13. Find : int((3sintheta-2)costheta)/(5-cos^2theta-4sintheta)dthetathet...

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  14. Evaluate : int0^pie^(2x)dotsin(pi/4+x)dx

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  15. If x=sint and y=sinp t , prove that (1-x^2)(d^2y)/(dx^2)-x(dy)/(dx)+p^...

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  16. Differentiate tan^(-1)((sqrt(1+x^2)-1)/x) wrt sin ^(-1)((2x)/(1+x^2))d...

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  17. If A=(cosalpha-sinalpha0sinalphacosalpha0 0 0 1), find a d jdotA and v...

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  18. If a ,b and c are all non-zero and |[1+a,1, 1],[ 1,1+b,1],[1,1,1+c]|=0...

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  19. Find the values of a and b , if the function f defined by f(x)={x^...

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  20. A coaching institute of English (subject) conducts classes in two batc...

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